Capaldi's first Doctor was the First Doctor. When they introduced him to the public he even stood like the First Doctor. His getup is more like the Third Doctor. But his Doctor is his own plus all the other Doctors. There are bits of all of them in there. A lot of Four from time to time...when he's being more alien in nature, or somewhat self-centered egotistic. When's he's being rather cross it is a mix of the First, Sixth, maybe Nine, and some of the others depending on tone. When he's talking fast, its Eleven and Seven, with a hint of Ten if there's a gadget involved. Also Three if their is a gadget involved or some martial arts. Also Seven when he adds spoons to the swordplay.
The ones he seems least like, are Eight, Five, and Two. He's not so much Nine as he doesn't have the weight of burning Gallifrey anymore on his shoulders. Though he still questions himself over all the other things he did in the Time War.
Though the trailer for Series Nine would seem to indicate that he's going to show off a little of his inner Two, and now that he's more sure of himself, maybe Eight as well. Not sure if he will get to his Five or not.
Every Doctor since has been known to enjoy them, though Eleven tried to substitute Jammie Dodgers (as you saw). Four was especially fond of them. 
